Scrib Post (Reference Angles and 1.6 Intro)

Hi JoJo's math students!!
Today was a very productive day in class. We covered reference angles(like our Thursday night homework) and an intro to 1.6.
I reference angle is the positive acute angle (aka theta prime) created by the terminal side and the negative or positive theta on the x-axis.

*The picture of the left is an angle in standard position. With the initial side (first) and the terminal side (end).







This is what the reference angle looks like.(reference angle in red)

You can solve reference angles by creating a 30-60-90 triangle (like the example we did in class today.

So if you found out that your reference angle was 60 degrees you can form the triangle on the initial side and solve. So you would have sin= y/r so
sin 60= square root 3 over 2





In case you did not know, this is what your 30 60 90 triangle will look like!!





Now the other part of class was an introduction to 1.6


SOH
sin theta= opposite/hypotenuse


CAH
cos theta= adjacent/hypotenuse

TOA
tan theta=opposite/Adjacent

So say your problem gives you the hypotenuse. You could use the SIN to find the Y and the COS to find the x. Tan is great to use it you are trying to find a other degree or (alpha)!!

I hope this was helpful!! Have a great weekend!!
Jocelyn

The next scribe is Katherine